Details

sample75.0ms

Algorithm

intervals

Results

20.0ms	63×	body	1280	valid
17.0ms	74×	body	10240	exit
11.0ms	54×	body	640	valid
5.0ms	34×	body	320	valid
4.0ms	93×	body	80	valid
1.0ms	12×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	8	7
done	8	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (exp x) (- (exp x) 1.0))
3.8b	(- (exp x) 1.0)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

58.0ms	(/ (exp x) (- (exp x) 1.0))
19.0ms	(- (exp x) 1.0)

series74.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (exp x) (- (exp x) 1.0))
25.0ms	(- (exp x) 1.0)

simplify2.4s

Counts

57 → 57

Iterations

Useful iterations: 3 (956.0ms)

Iter	Nodes	Cost
0	91	640
1	191	614
2	648	581
3	3086	577
done	5000	577

prune298.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/12 x) (/ 1 x))
0.0b	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
0.3b	(* 1/12 x)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`sum-log`
3×	`associate-r` `associate-l`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 43

Calls

3 calls:

22.0ms	(+ (* 1/12 x) (/ 1 x))
63.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
13.0ms	(* 1/12 x)

series124.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ (* 1/12 x) (/ 1 x))
25.0ms	(+ 1/2 (+ (* 1/12 x) (/ 1 x)))
24.0ms	(* 1/12 x)

simplify956.0ms

Counts

52 → 52

Iterations

Useful iterations: 2 (195.0ms)

Iter	Nodes	Cost
0	73	503
1	208	450
2	804	424
done	5000	424

prune231.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
3.9b	(- 1 (/ 1.0 (exp x)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 97

Calls

3 calls:

13.0ms	(/ 1.0 (exp x))
66.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
29.0ms	(- 1 (/ 1.0 (exp x)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ 1.0 (exp x))
91.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
60.0ms	(- 1 (/ 1.0 (exp x)))

simplify1.3s

Counts

106 → 106

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	162	1303
1	345	1155
2	1262	1101
done	5001	1096

prune444.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.0b	(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
0.3b	(/ (exp x) (- (pow (exp x) 3) (pow 1.0 3)))
3.8b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite672.0ms

Algorithm

rewrite-expression-head

Rules

265×	`add-sqr-sqrt`
151×	`times-frac`
148×	`*-un-lft-identity`
128×	`difference-of-squares`
99×	`unpow-prod-down` `cube-prod`
81×	`associate-l`
68×	`add-cube-cbrt`
65×	`sqr-pow`
40×	`distribute-lft-out--`
25×	`associate-/r*`
12×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`difference-cubes`
7×	`pow1`
6×	`add-log-exp`
4×	`pow-pow` `associate-/r/`
3×	`pow-unpow` `exp-prod` `flip3--` `associate-r` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `unpow3` `pow-prod-down` `associate-l/` `pow-exp` `clear-num` `-commutative` `rem-cube-cbrt`

Counts

4 → 283

Calls

4 calls:

19.0ms	(pow (exp x) 3)
449.0ms	(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
96.0ms	(/ (exp x) (- (pow (exp x) 3) (pow 1.0 3)))
68.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series452.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(pow (exp x) 3)
225.0ms	(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
113.0ms	(/ (exp x) (- (pow (exp x) 3) (pow 1.0 3)))
71.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify1.1s

Counts

295 → 295

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	316	6727
1	1136	5973
done	5000	5759

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

97.1% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 21.6b

bsearch1.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	40
1	33	40
done	33	40

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.4s	2242×	body	1280	valid
939.0ms	2640×	body	10240	exit
491.0ms	1648×	body	640	valid
132.0ms	855×	body	320	valid
124.0ms	2867×	body	80	valid
38.0ms	389×	body	160	valid